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Simplifying 0.33(5 + -4e) = 0.5(9 + -4e) (5 * 0.33 + -4e * 0.33) = 0.5(9 + -4e) (1.65 + -1.32e) = 0.5(9 + -4e) 1.65 + -1.32e = (9 * 0.5 + -4e * 0.5) 1.65 + -1.32e = (4.5 + -2e) Solving 1.65 + -1.32e = 4.5 + -2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2e' to each side of the equation. 1.65 + -1.32e + 2e = 4.5 + -2e + 2e Combine like terms: -1.32e + 2e = 0.68e 1.65 + 0.68e = 4.5 + -2e + 2e Combine like terms: -2e + 2e = 0 1.65 + 0.68e = 4.5 + 0 1.65 + 0.68e = 4.5 Add '-1.65' to each side of the equation. 1.65 + -1.65 + 0.68e = 4.5 + -1.65 Combine like terms: 1.65 + -1.65 = 0.00 0.00 + 0.68e = 4.5 + -1.65 0.68e = 4.5 + -1.65 Combine like terms: 4.5 + -1.65 = 2.85 0.68e = 2.85 Divide each side by '0.68'. e = 4.191176471 Simplifying e = 4.191176471
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